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Finding the Third Proportional to 62,066 and 95,907

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Solution

The third proportional to 62,066 and 95,907 is: 148,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,066 : 95,907 = 95,907 : x
  2. Step 2: Convert to fraction form
    62,066/95,907 = 95,907/x
  3. Step 3: Cross multiply
    62,066x = 95,907 × 95,907
  4. Step 4: Simplify right side
    62,066x = 9,198,152,649
  5. Step 5: Solve for x
    x = 9,198,152,649/62,066
  6. Step 6: Final answer
    x = 148,199.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.